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We introduce the variant rate and white noise into the susceptible-infected-removed (SIR) model for epidemics,discuss the epidemic dynamics of a multiple-compartment system,and describe this system by using master equations.For both the local epidemic spreading system and the whole multiple-compartment system,we find that a threshold could be useful in forecasting when the epidemic vanishes.Furthermore,numerical simulations show that a model with the variant infection rate and white noise can improve fitting with real SARS data.